221210112000990 has 256 divisors, whose sum is σ = 658306101712896. Its totient is φ = 46413399244800.

The previous prime is 221210112000989. The next prime is 221210112001051. The reversal of 221210112000990 is 99000211012122.

221210112000990 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 489674620 + ... + 490126160.

It is an arithmetic number, because the mean of its divisors is an integer number (2571508209816).

Almost surely, 2^{221210112000990} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221210112000990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329153050856448).

221210112000990 is an abundant number, since it is smaller than the sum of its proper divisors (437095989711906).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

221210112000990 is a wasteful number, since it uses less digits than its factorization.

221210112000990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454963.

The product of its (nonzero) digits is 1296, while the sum is 30.

The spelling of 221210112000990 in words is "two hundred twenty-one trillion, two hundred ten billion, one hundred twelve million, nine hundred ninety", and thus it is an aban number.